Classical and quantum mechanics on the unit ball in \({\mathbb{C}}^ n\)

DOI10.1016/0034-4877(86)90009-1zbMath0639.32016OpenAlexW2057596480MaRDI QIDQ1100324

Anatol Odzijewicz, A. Kryszeń, Maciej Horowski

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90009-1

zbMATH Keywords

Heisenberg grouppath integralscoherent statesKählerHamiltonian phase space

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coherent states (81R30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items (2)

QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Quantum ball as an example of quantum Kähler manifold

Cites Work

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• On reproducing kernels and quantization of states
• Strictly pseudoconvex domains in 𝐶ⁿ
• Quantization and unitary representations

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